Answer:
The independent quantity in the situation is the length of the diameter.
Step-by-step explanation:
Consider a relationship between two variables.
Of the two variables one variable is dependent upon the other.
Dependent variables are those variables that are under study, i.e. they are being observed for any changes when the other variable values are changed.
Independent variables are the variables that are being altered to see a proportionate change in the dependent variable.
In this case, it is provided that Grissom knows there is a relationship between the volume of the sphere and the length of its diameter.
With every sphere that Grissom draws, the volume of the sphere changes according to its diameter length.
That is the volume of the sphere depends upon the length of its diameter.
Thus, the independent quantity in the situation is the length of the diameter.
Answer:
B) 69°
Step-by-step explanation:
The missing measure is supplementary angle of 111° which means their sum is equal to 180°
180 - 111 = 69.
Answer:
2x(2x²+x+1)
Dtep-by-step explanation:
f(x) = 9x³+2x²-5x+4
g(x) = 5x³-7x+4
f(x) - g(x)
= 9x³+2x²-5x+4 - (5x³-7x+4)
= 9x³+2x²-5x+4-5x³+7x-5
= 4x³+2x²+2x
= 2x(2x²+x+1)
Answer:
4
Step-by-step explanation:
The values on the left of the table represent the number of fish caught, and the number of the right of the table represents how many family members caught that amount of fish.
Therefore, the first row means that 0 family members caught 0 fish.
The second row means that 3 family members caught 1 fish.
The third row would mean 1 family member caught 2 fish.
The next row would mean 0 family members caught 3 fish.
And the final row would mean 4 family members caught 4 fish.
The question does not ask for the total amount of fish caught; rather is ask for the maximum number of fish that a single family member caught.
Therefore, the maximum amount of fish that a single family member catches is 4. (And 4 family members did so. But individually, the maximum amount of fish one person caught is 4).
Answer:
(f+g)(x) = -3x+5
Step-by-step explanation:
f(x)=x+8 and g(x)=-4x-3
(f+g)(x) = f(x) + g(x)
= x+8+-4x-3
= -3x+5